Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
292 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#11758407 | C2 | semidirect |
| 4. #14520813 | C2 | semidirect |
| 5. C2×C31×#108 | C2 | semidirect |
| 70. C2×D31 | #108 | semidirect |
| 78. C2×#108 | D31 | semidirect |
| 97. C31 | #1810 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D31 | 2 |
| C2×#11758407 | 2 |
| #14521012 | 2 |
| #14520813 | 2 |
| C2×C31×#108 | 2 |
| #1810 | 31 |